Here are some examples:
* The store is locally owned. (Meaning the store is owned by someone in the same town or area.)
* The fruit is grown locally. (Meaning the fruit is grown in the same area where it is sold.)
* We are dining locally tonight. (Meaning we are going to a restaurant in our town or neighborhood.)
It's important to note that "local" can also be an adjective, meaning relating to or characteristic of a particular place. In that case, it modifies a noun:
* The local newspaper. (Meaning the newspaper published in that specific place.)
* Local customs. (Meaning customs that are unique to that place.)
The difference between "local" as an adverb and as an adjective is in how it is used in the sentence. As an adverb, it modifies a verb or another adverb. As an adjective, it modifies a noun.